1682820360 has 160 divisors (see below), whose sum is σ = 6091386840. Its totient is φ = 414222336.

The previous prime is 1682820341. The next prime is 1682820389. The reversal of 1682820360 is 630282861.

1682820360 is a `hidden beast` number, since 16 + 8 + 282 + 0 + 360 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1253584836 + 429235524 = 35406^2 + 20718^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22144 + ... + 62096.

Almost surely, 2^1682820360 is an apocalyptic number.

1682820360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1682820360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3045693420).

1682820360 is an abundant number, since it is smaller than the sum of its proper divisors (4408566480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1682820360 is a wasteful number, since it uses less digits than its factorization.

1682820360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39989 (or 39976 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1682820360 is about 41022.1935054673. The cubic root of 1682820360 is about 1189.4492567194.

The spelling of 1682820360 in words is "one billion, six hundred eighty-two million, eight hundred twenty thousand, three hundred sixty".